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<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[  <a href="trees_2.html#NM4" title="TREES_2:NM.4">DecoratedTree</a>] <b>means </b><font color="Maroon" title="c1">G</font> is <a href="bintree1.html#V2" title="BINTREE1:attr.2">binary</a>;<br/>
<div><i><font color="Green" title="E10">A1</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="26_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c2">s</font> be   <a href="dtconstr.html#NM2" title="DTCONSTR:NM.2">Terminal</a> of <font color="Maroon" title="c1">G</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon">S<sub>1</sub></font>[ <a href="dtconstr.html#K8" title="DTCONSTR:func.8">root-tree</a> <font color="Maroon" title="c2">s</font>]</span><br/><a NAME="E1:26_1_1_1"/>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><a href="dtconstr.html#K8" title="DTCONSTR:func.8">root-tree</a> <font color="Maroon" title="c2">s</font></span>)</span> is <a href="bintree1.html#V1" title="BINTREE1:attr.1">binary</a>
 <b>by </b><i><a class="ref" href="bintree1.html#T6" target="_self" title="BINTREE1:th.6">Th6</a>, <a class="ref" href="trees_4.html#T3" title="TREES_4:th.3">TREES_4:3</a></i>;<br/><b>hence </b><a NAME="E2:26_1_1_1"/>
<font color="Maroon">S<sub>1</sub></font>[ <a href="dtconstr.html#K8" title="DTCONSTR:func.8">root-tree</a> <font color="Maroon" title="c2">s</font>]
 <b>by </b><i><a class="ref" href="bintree1.html#D3" target="_self" title="BINTREE1:def.3">Def3</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div>
<a NAME="E2:26_1_1"/><i><font color="Green" title="E11">A2</font></i>: 
for <font color="Olive" title="b1">nt</font> being  <a href="dtconstr.html#NM3" title="DTCONSTR:NM.3">NonTerminal</a> of <font color="Maroon" title="c1">G</font><br/> for <font color="Olive" title="b2">tl</font>, <font color="Olive" title="b3">tr</font> being   <a href="dtconstr.html#M1" title="DTCONSTR:mode.1">Element</a> of  <a href="dtconstr.html#K4" title="DTCONSTR:func.4">TS</a> <font color="Maroon" title="c1">G</font>  st <font color="Olive" title="b1">nt</font> <a href="lang1.html#R1" title="LANG1:pred.1">==&gt;</a> <span class="p1"><a href="lang1.html#K4" title="LANG1:func.4">&lt;*</a><span class="default"><span class="p2">(<span class="default"><a href="bintree1.html#K1" title="BINTREE1:func.1">root-label</a> <font color="Olive" title="b2">tl</font></span>)</span>,<span class="p2">(<span class="default"><a href="bintree1.html#K1" title="BINTREE1:func.1">root-label</a> <font color="Olive" title="b3">tr</font></span>)</span></span><a href="lang1.html#K4" title="LANG1:func.4">*&gt;</a></span> &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b2">tl</font>] &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b3">tr</font>] holds <br/><font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">nt</font> <a href="trees_4.html#K10" title="TREES_4:func.10">-tree</a> <font color="Olive" title="b2">tl</font>,<font color="Olive" title="b3">tr</font>]
 
<b>by </b><i><a class="ref" href="bintree1.html#T11" target="_self" title="BINTREE1:th.11">Th11</a></i>;<br/>
<b>thus </b><a NAME="E3:26_1_1"/>
for <font color="Olive" title="b1">x</font> being   <a href="dtconstr.html#M1" title="DTCONSTR:mode.1">Element</a> of  <a href="dtconstr.html#K4" title="DTCONSTR:func.4">TS</a> <font color="Maroon" title="c1">G</font> holds  <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">x</font>]
 <b>from </b><i><a class="ref" href="bintree1.html#S2" target="_self" title="BINTREE1:sch.2">BINTREE1:sch 2</a>(<a class="txt" href="bintree1.html#E1:26_1_1"><i><font color="Green" title="E10">A1</font></i></a>, <a class="txt" href="bintree1.html#E2:26_1_1"><i><font color="Green" title="E11">A2</font></i></a>);</i> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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